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Finding the Fourth Proportional to 415,220.58, 622,437.21 and 134,541

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Solution

The fourth proportional to 415,220.58, 622,437.21 and 134,541 is: 201,683.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,220.58 : 622,437.21 = 134,541 : x
  2. Step 2: Convert to fraction form
    415,220.58/622,437.21 = 134,541/x
  3. Step 3: Cross multiply
    415,220.58x = 622,437.21 × 134,541
  4. Step 4: Simplify right side
    415,220.58x = 83,743,324,670.61
  5. Step 5: Solve for x
    x = 83,743,324,670.61/415,220.58
  6. Step 6: Final answer
    x = 201,683.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.